%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : RNG047+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Mon Jul 18 20:16:12 EDT 2022
% Result : Theorem 0.98s 1.42s
% Output : Refutation 0.98s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : RNG047+1 : TPTP v8.1.0. Released v4.0.0.
% 0.00/0.09 % Command : bliksem %s
% 0.08/0.27 % Computer : n032.cluster.edu
% 0.08/0.27 % Model : x86_64 x86_64
% 0.08/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27 % Memory : 8042.1875MB
% 0.08/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27 % CPULimit : 300
% 0.08/0.27 % DateTime : Mon May 30 21:02:42 EDT 2022
% 0.08/0.28 % CPUTime :
% 0.44/0.86 *** allocated 10000 integers for termspace/termends
% 0.44/0.86 *** allocated 10000 integers for clauses
% 0.44/0.86 *** allocated 10000 integers for justifications
% 0.44/0.86 Bliksem 1.12
% 0.44/0.86
% 0.44/0.86
% 0.44/0.86 Automatic Strategy Selection
% 0.44/0.86
% 0.44/0.86
% 0.44/0.86 Clauses:
% 0.44/0.86
% 0.44/0.86 { && }.
% 0.44/0.86 { aNaturalNumber0( sz00 ) }.
% 0.44/0.86 { ! aNaturalNumber0( X ), aNaturalNumber0( szszuzczcdt0( X ) ) }.
% 0.44/0.86 { ! aNaturalNumber0( X ), ! szszuzczcdt0( X ) = sz00 }.
% 0.44/0.86 { ! aNaturalNumber0( X ), X = sz00, aNaturalNumber0( skol1( Y ) ) }.
% 0.44/0.86 { ! aNaturalNumber0( X ), X = sz00, X = szszuzczcdt0( skol1( X ) ) }.
% 0.44/0.86 { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y ), ! szszuzczcdt0( X ) =
% 0.44/0.86 szszuzczcdt0( Y ), X = Y }.
% 0.44/0.86 { && }.
% 0.44/0.86 { ! aNaturalNumber0( X ), iLess0( X, szszuzczcdt0( X ) ) }.
% 0.44/0.86 { && }.
% 0.44/0.86 { aScalar0( sz0z00 ) }.
% 0.44/0.86 { ! aScalar0( X ), ! aScalar0( Y ), aScalar0( sdtpldt0( X, Y ) ) }.
% 0.44/0.86 { ! aScalar0( X ), ! aScalar0( Y ), aScalar0( sdtasdt0( X, Y ) ) }.
% 0.44/0.86 { ! aScalar0( X ), aScalar0( smndt0( X ) ) }.
% 0.44/0.86 { ! aScalar0( X ), alpha3( X ) }.
% 0.44/0.86 { ! aScalar0( X ), smndt0( sz0z00 ) = sz0z00 }.
% 0.44/0.86 { ! alpha3( X ), alpha5( X ) }.
% 0.44/0.86 { ! alpha3( X ), smndt0( smndt0( X ) ) = X }.
% 0.44/0.86 { ! alpha5( X ), ! smndt0( smndt0( X ) ) = X, alpha3( X ) }.
% 0.44/0.86 { ! alpha5( X ), alpha6( X ) }.
% 0.44/0.86 { ! alpha5( X ), sdtpldt0( smndt0( X ), X ) = sz0z00 }.
% 0.44/0.86 { ! alpha6( X ), ! sdtpldt0( smndt0( X ), X ) = sz0z00, alpha5( X ) }.
% 0.44/0.86 { ! alpha6( X ), alpha7( X ) }.
% 0.44/0.86 { ! alpha6( X ), sdtpldt0( X, smndt0( X ) ) = sz0z00 }.
% 0.44/0.86 { ! alpha7( X ), ! sdtpldt0( X, smndt0( X ) ) = sz0z00, alpha6( X ) }.
% 0.44/0.86 { ! alpha7( X ), alpha8( X ) }.
% 0.44/0.86 { ! alpha7( X ), sdtasdt0( sz0z00, X ) = sz0z00 }.
% 0.44/0.86 { ! alpha8( X ), ! sdtasdt0( sz0z00, X ) = sz0z00, alpha7( X ) }.
% 0.44/0.86 { ! alpha8( X ), sdtpldt0( X, sz0z00 ) = X }.
% 0.44/0.86 { ! alpha8( X ), sdtpldt0( sz0z00, X ) = X }.
% 0.44/0.86 { ! alpha8( X ), sdtasdt0( X, sz0z00 ) = sz0z00 }.
% 0.44/0.86 { ! sdtpldt0( X, sz0z00 ) = X, ! sdtpldt0( sz0z00, X ) = X, ! sdtasdt0( X,
% 0.44/0.86 sz0z00 ) = sz0z00, alpha8( X ) }.
% 0.44/0.86 { ! aScalar0( X ), ! aScalar0( Y ), ! aScalar0( Z ), alpha4( X, Y, Z ) }.
% 0.44/0.86 { ! aScalar0( X ), ! aScalar0( Y ), ! aScalar0( Z ), sdtasdt0( X, Y ) =
% 0.44/0.86 sdtasdt0( Y, X ) }.
% 0.44/0.86 { ! alpha4( X, Y, Z ), sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0( X,
% 0.44/0.86 sdtpldt0( Y, Z ) ) }.
% 0.44/0.86 { ! alpha4( X, Y, Z ), sdtpldt0( X, Y ) = sdtpldt0( Y, X ) }.
% 0.44/0.86 { ! alpha4( X, Y, Z ), sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0( X,
% 0.44/0.86 sdtasdt0( Y, Z ) ) }.
% 0.44/0.86 { ! sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0( X, sdtpldt0( Y, Z ) ), !
% 0.44/0.86 sdtpldt0( X, Y ) = sdtpldt0( Y, X ), ! sdtasdt0( sdtasdt0( X, Y ), Z ) =
% 0.44/0.86 sdtasdt0( X, sdtasdt0( Y, Z ) ), alpha4( X, Y, Z ) }.
% 0.44/0.86 { ! aScalar0( X ), ! aScalar0( Y ), ! aScalar0( Z ), sdtasdt0( X, sdtpldt0
% 0.44/0.86 ( Y, Z ) ) = sdtpldt0( sdtasdt0( X, Y ), sdtasdt0( X, Z ) ) }.
% 0.44/0.86 { ! aScalar0( X ), ! aScalar0( Y ), ! aScalar0( Z ), sdtasdt0( sdtpldt0( X
% 0.44/0.86 , Y ), Z ) = sdtpldt0( sdtasdt0( X, Z ), sdtasdt0( Y, Z ) ) }.
% 0.44/0.86 { ! aScalar0( X ), ! aScalar0( Y ), ! aScalar0( Z ), ! aScalar0( T ),
% 0.44/0.86 sdtasdt0( sdtpldt0( X, Y ), sdtpldt0( Z, T ) ) = sdtpldt0( sdtpldt0(
% 0.44/0.86 sdtasdt0( X, Z ), sdtasdt0( X, T ) ), sdtpldt0( sdtasdt0( Y, Z ),
% 0.44/0.86 sdtasdt0( Y, T ) ) ) }.
% 0.44/0.86 { ! aScalar0( X ), ! aScalar0( Y ), sdtasdt0( X, smndt0( Y ) ) = smndt0(
% 0.44/0.86 sdtasdt0( X, Y ) ) }.
% 0.44/0.86 { ! aScalar0( X ), ! aScalar0( Y ), sdtasdt0( smndt0( X ), Y ) = smndt0(
% 0.44/0.86 sdtasdt0( X, Y ) ) }.
% 0.44/0.86 { ! aScalar0( X ), ! aScalar0( Y ), sdtasdt0( smndt0( X ), smndt0( Y ) ) =
% 0.44/0.86 sdtasdt0( X, Y ) }.
% 0.44/0.86 { && }.
% 0.44/0.86 { ! aScalar0( X ), sdtlseqdt0( X, X ) }.
% 0.44/0.86 { ! aScalar0( X ), ! aScalar0( Y ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y,
% 0.44/0.86 X ), X = Y }.
% 0.44/0.86 { ! aScalar0( X ), ! aScalar0( Y ), ! aScalar0( Z ), ! sdtlseqdt0( X, Y ),
% 0.44/0.86 ! sdtlseqdt0( Y, Z ), sdtlseqdt0( X, Z ) }.
% 0.44/0.86 { ! aScalar0( X ), ! aScalar0( Y ), ! aScalar0( Z ), ! aScalar0( T ), !
% 0.44/0.86 sdtlseqdt0( X, Y ), ! sdtlseqdt0( Z, T ), sdtlseqdt0( sdtpldt0( X, Z ),
% 0.44/0.86 sdtpldt0( Y, T ) ) }.
% 0.44/0.86 { ! aScalar0( X ), ! aScalar0( Y ), ! aScalar0( Z ), ! aScalar0( T ), !
% 0.44/0.86 sdtlseqdt0( X, Y ), ! sdtlseqdt0( sz0z00, Z ), ! sdtlseqdt0( Z, T ),
% 0.44/0.86 sdtlseqdt0( sdtasdt0( X, Z ), sdtasdt0( Y, T ) ) }.
% 0.44/0.86 { ! aScalar0( X ), ! aScalar0( Y ), sdtlseqdt0( X, Y ), sdtlseqdt0( Y, X )
% 0.44/0.86 }.
% 0.44/0.86 { ! aScalar0( X ), ! aScalar0( Y ), ! sdtlseqdt0( sz0z00, X ), ! sdtlseqdt0
% 0.44/0.86 ( sz0z00, Y ), sdtlseqdt0( sz0z00, sdtpldt0( X, Y ) ) }.
% 0.98/1.42 { ! aScalar0( X ), ! aScalar0( Y ), ! sdtlseqdt0( sz0z00, X ), ! sdtlseqdt0
% 0.98/1.42 ( sz0z00, Y ), sdtlseqdt0( sz0z00, sdtasdt0( X, Y ) ) }.
% 0.98/1.42 { ! aScalar0( X ), sdtlseqdt0( sz0z00, sdtasdt0( X, X ) ) }.
% 0.98/1.42 { ! aScalar0( X ), ! aScalar0( Y ), ! sdtlseqdt0( sz0z00, X ), ! sdtlseqdt0
% 0.98/1.42 ( sz0z00, Y ), ! sdtasdt0( X, X ) = sdtasdt0( Y, Y ), X = Y }.
% 0.98/1.42 { && }.
% 0.98/1.42 { ! aVector0( X ), aNaturalNumber0( aDimensionOf0( X ) ) }.
% 0.98/1.42 { ! aVector0( X ), ! aNaturalNumber0( Y ), aScalar0( sdtlbdtrb0( X, Y ) ) }
% 0.98/1.42 .
% 0.98/1.42 { ! aVector0( X ), aDimensionOf0( X ) = sz00, ! Y = sziznziztdt0( X ),
% 0.98/1.42 aVector0( Y ) }.
% 0.98/1.42 { ! aVector0( X ), aDimensionOf0( X ) = sz00, ! Y = sziznziztdt0( X ),
% 0.98/1.42 alpha1( X, Y ) }.
% 0.98/1.42 { ! aVector0( X ), aDimensionOf0( X ) = sz00, ! aVector0( Y ), ! alpha1( X
% 0.98/1.42 , Y ), Y = sziznziztdt0( X ) }.
% 0.98/1.42 { ! alpha1( X, Y ), szszuzczcdt0( aDimensionOf0( Y ) ) = aDimensionOf0( X )
% 0.98/1.42 }.
% 0.98/1.42 { ! alpha1( X, Y ), alpha2( X, Y ) }.
% 0.98/1.42 { ! szszuzczcdt0( aDimensionOf0( Y ) ) = aDimensionOf0( X ), ! alpha2( X, Y
% 0.98/1.42 ), alpha1( X, Y ) }.
% 0.98/1.42 { ! alpha2( X, Y ), ! aNaturalNumber0( Z ), sdtlbdtrb0( Y, Z ) = sdtlbdtrb0
% 0.98/1.42 ( X, Z ) }.
% 0.98/1.42 { aNaturalNumber0( skol2( Z, T ) ), alpha2( X, Y ) }.
% 0.98/1.42 { ! sdtlbdtrb0( Y, skol2( X, Y ) ) = sdtlbdtrb0( X, skol2( X, Y ) ), alpha2
% 0.98/1.42 ( X, Y ) }.
% 0.98/1.42 { aVector0( xs ) }.
% 0.98/1.42 { aVector0( xt ) }.
% 0.98/1.42 { aDimensionOf0( xs ) = aDimensionOf0( xt ) }.
% 0.98/1.42 { ! aDimensionOf0( xt ) = sz00 }.
% 0.98/1.42 { ! aDimensionOf0( sziznziztdt0( xs ) ) = aDimensionOf0( sziznziztdt0( xt )
% 0.98/1.42 ) }.
% 0.98/1.42
% 0.98/1.42 percentage equality = 0.255102, percentage horn = 0.897059
% 0.98/1.42 This is a problem with some equality
% 0.98/1.42
% 0.98/1.42
% 0.98/1.42
% 0.98/1.42 Options Used:
% 0.98/1.42
% 0.98/1.42 useres = 1
% 0.98/1.42 useparamod = 1
% 0.98/1.42 useeqrefl = 1
% 0.98/1.42 useeqfact = 1
% 0.98/1.42 usefactor = 1
% 0.98/1.42 usesimpsplitting = 0
% 0.98/1.42 usesimpdemod = 5
% 0.98/1.42 usesimpres = 3
% 0.98/1.42
% 0.98/1.42 resimpinuse = 1000
% 0.98/1.42 resimpclauses = 20000
% 0.98/1.42 substype = eqrewr
% 0.98/1.42 backwardsubs = 1
% 0.98/1.42 selectoldest = 5
% 0.98/1.42
% 0.98/1.42 litorderings [0] = split
% 0.98/1.42 litorderings [1] = extend the termordering, first sorting on arguments
% 0.98/1.42
% 0.98/1.42 termordering = kbo
% 0.98/1.42
% 0.98/1.42 litapriori = 0
% 0.98/1.42 termapriori = 1
% 0.98/1.42 litaposteriori = 0
% 0.98/1.42 termaposteriori = 0
% 0.98/1.42 demodaposteriori = 0
% 0.98/1.42 ordereqreflfact = 0
% 0.98/1.42
% 0.98/1.42 litselect = negord
% 0.98/1.42
% 0.98/1.42 maxweight = 15
% 0.98/1.42 maxdepth = 30000
% 0.98/1.42 maxlength = 115
% 0.98/1.42 maxnrvars = 195
% 0.98/1.42 excuselevel = 1
% 0.98/1.42 increasemaxweight = 1
% 0.98/1.42
% 0.98/1.42 maxselected = 10000000
% 0.98/1.42 maxnrclauses = 10000000
% 0.98/1.42
% 0.98/1.42 showgenerated = 0
% 0.98/1.42 showkept = 0
% 0.98/1.42 showselected = 0
% 0.98/1.42 showdeleted = 0
% 0.98/1.42 showresimp = 1
% 0.98/1.42 showstatus = 2000
% 0.98/1.42
% 0.98/1.42 prologoutput = 0
% 0.98/1.42 nrgoals = 5000000
% 0.98/1.42 totalproof = 1
% 0.98/1.42
% 0.98/1.42 Symbols occurring in the translation:
% 0.98/1.42
% 0.98/1.42 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.98/1.42 . [1, 2] (w:1, o:32, a:1, s:1, b:0),
% 0.98/1.42 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 0.98/1.42 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 0.98/1.42 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.98/1.42 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.98/1.42 aNaturalNumber0 [36, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.98/1.42 sz00 [37, 0] (w:1, o:7, a:1, s:1, b:0),
% 0.98/1.42 szszuzczcdt0 [38, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.98/1.42 iLess0 [40, 2] (w:1, o:56, a:1, s:1, b:0),
% 0.98/1.42 aScalar0 [41, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.98/1.42 sz0z00 [42, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.98/1.42 sdtpldt0 [43, 2] (w:1, o:57, a:1, s:1, b:0),
% 0.98/1.42 sdtasdt0 [44, 2] (w:1, o:58, a:1, s:1, b:0),
% 0.98/1.42 smndt0 [45, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.98/1.42 sdtlseqdt0 [48, 2] (w:1, o:59, a:1, s:1, b:0),
% 0.98/1.42 aVector0 [49, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.98/1.42 aDimensionOf0 [50, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.98/1.42 sdtlbdtrb0 [51, 2] (w:1, o:60, a:1, s:1, b:0),
% 0.98/1.42 sziznziztdt0 [52, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.98/1.42 xs [53, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.98/1.42 xt [54, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.98/1.42 alpha1 [55, 2] (w:1, o:61, a:1, s:1, b:1),
% 0.98/1.42 alpha2 [56, 2] (w:1, o:62, a:1, s:1, b:1),
% 0.98/1.42 alpha3 [57, 1] (w:1, o:26, a:1, s:1, b:1),
% 0.98/1.42 alpha4 [58, 3] (w:1, o:64, a:1, s:1, b:1),
% 0.98/1.42 alpha5 [59, 1] (w:1, o:27, a:1, s:1, b:1),
% 0.98/1.42 alpha6 [60, 1] (w:1, o:28, a:1, s:1, b:1),
% 0.98/1.42 alpha7 [61, 1] (w:1, o:29, a:1, s:1, b:1),
% 0.98/1.42 alpha8 [62, 1] (w:1, o:30, a:1, s:1, b:1),
% 0.98/1.42 skol1 [63, 1] (w:1, o:31, a:1, s:1, b:1),
% 0.98/1.42 skol2 [64, 2] (w:1, o:63, a:1, s:1, b:1).
% 0.98/1.42
% 0.98/1.42
% 0.98/1.42 Starting Search:
% 0.98/1.42
% 0.98/1.42 *** allocated 15000 integers for clauses
% 0.98/1.42 *** allocated 22500 integers for clauses
% 0.98/1.42 *** allocated 33750 integers for clauses
% 0.98/1.42 *** allocated 50625 integers for clauses
% 0.98/1.42 *** allocated 15000 integers for termspace/termends
% 0.98/1.42 *** allocated 75937 integers for clauses
% 0.98/1.42 *** allocated 22500 integers for termspace/termends
% 0.98/1.42 Resimplifying inuse:
% 0.98/1.42 Done
% 0.98/1.42
% 0.98/1.42 *** allocated 33750 integers for termspace/termends
% 0.98/1.42 *** allocated 113905 integers for clauses
% 0.98/1.42 *** allocated 50625 integers for termspace/termends
% 0.98/1.42 *** allocated 170857 integers for clauses
% 0.98/1.42
% 0.98/1.42 Intermediate Status:
% 0.98/1.42 Generated: 8786
% 0.98/1.42 Kept: 2011
% 0.98/1.42 Inuse: 192
% 0.98/1.42 Deleted: 47
% 0.98/1.42 Deletedinuse: 16
% 0.98/1.42
% 0.98/1.42 Resimplifying inuse:
% 0.98/1.42 Done
% 0.98/1.42
% 0.98/1.42 *** allocated 256285 integers for clauses
% 0.98/1.42 *** allocated 75937 integers for termspace/termends
% 0.98/1.42 Resimplifying inuse:
% 0.98/1.42 Done
% 0.98/1.42
% 0.98/1.42
% 0.98/1.42 Intermediate Status:
% 0.98/1.42 Generated: 17377
% 0.98/1.42 Kept: 4011
% 0.98/1.42 Inuse: 358
% 0.98/1.42 Deleted: 54
% 0.98/1.42 Deletedinuse: 19
% 0.98/1.42
% 0.98/1.42 Resimplifying inuse:
% 0.98/1.42 Done
% 0.98/1.42
% 0.98/1.42 *** allocated 384427 integers for clauses
% 0.98/1.42 Resimplifying inuse:
% 0.98/1.42 Done
% 0.98/1.42
% 0.98/1.42 *** allocated 113905 integers for termspace/termends
% 0.98/1.42
% 0.98/1.42 Intermediate Status:
% 0.98/1.42 Generated: 30786
% 0.98/1.42 Kept: 6161
% 0.98/1.42 Inuse: 555
% 0.98/1.42 Deleted: 81
% 0.98/1.42 Deletedinuse: 20
% 0.98/1.42
% 0.98/1.42 Resimplifying inuse:
% 0.98/1.42 Done
% 0.98/1.42
% 0.98/1.42 *** allocated 576640 integers for clauses
% 0.98/1.42
% 0.98/1.42 Bliksems!, er is een bewijs:
% 0.98/1.42 % SZS status Theorem
% 0.98/1.42 % SZS output start Refutation
% 0.98/1.42
% 0.98/1.42 (1) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz00 ) }.
% 0.98/1.42 (2) {G0,W5,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), aNaturalNumber0(
% 0.98/1.42 szszuzczcdt0( X ) ) }.
% 0.98/1.42 (3) {G0,W6,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), ! szszuzczcdt0( X ) ==>
% 0.98/1.42 sz00 }.
% 0.98/1.42 (4) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), X = sz00,
% 0.98/1.42 aNaturalNumber0( skol1( Y ) ) }.
% 0.98/1.42 (5) {G0,W10,D4,L3,V1,M3} I { ! aNaturalNumber0( X ), X = sz00, szszuzczcdt0
% 0.98/1.42 ( skol1( X ) ) ==> X }.
% 0.98/1.42 (6) {G0,W12,D3,L4,V2,M4} I { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y )
% 0.98/1.42 , ! szszuzczcdt0( X ) = szszuzczcdt0( Y ), X = Y }.
% 0.98/1.42 (52) {G0,W5,D3,L2,V1,M2} I { ! aVector0( X ), aNaturalNumber0(
% 0.98/1.42 aDimensionOf0( X ) ) }.
% 0.98/1.42 (54) {G0,W12,D3,L4,V2,M4} I { ! aVector0( X ), aDimensionOf0( X ) ==> sz00
% 0.98/1.42 , ! Y = sziznziztdt0( X ), aVector0( Y ) }.
% 0.98/1.42 (55) {G0,W13,D3,L4,V2,M4} I { ! aVector0( X ), aDimensionOf0( X ) ==> sz00
% 0.98/1.42 , ! Y = sziznziztdt0( X ), alpha1( X, Y ) }.
% 0.98/1.42 (57) {G0,W9,D4,L2,V2,M2} I { ! alpha1( X, Y ), szszuzczcdt0( aDimensionOf0
% 0.98/1.42 ( Y ) ) = aDimensionOf0( X ) }.
% 0.98/1.42 (63) {G0,W2,D2,L1,V0,M1} I { aVector0( xs ) }.
% 0.98/1.42 (64) {G0,W2,D2,L1,V0,M1} I { aVector0( xt ) }.
% 0.98/1.42 (65) {G0,W5,D3,L1,V0,M1} I { aDimensionOf0( xt ) ==> aDimensionOf0( xs )
% 0.98/1.42 }.
% 0.98/1.42 (66) {G1,W4,D3,L1,V0,M1} I;d(65) { ! aDimensionOf0( xs ) ==> sz00 }.
% 0.98/1.42 (67) {G0,W7,D4,L1,V0,M1} I { ! aDimensionOf0( sziznziztdt0( xt ) ) ==>
% 0.98/1.42 aDimensionOf0( sziznziztdt0( xs ) ) }.
% 0.98/1.42 (127) {G1,W3,D3,L1,V0,M1} R(2,1) { aNaturalNumber0( szszuzczcdt0( sz00 ) )
% 0.98/1.42 }.
% 0.98/1.42 (132) {G1,W4,D3,L1,V0,M1} R(3,1) { ! szszuzczcdt0( sz00 ) ==> sz00 }.
% 0.98/1.42 (146) {G1,W13,D5,L3,V1,M3} R(5,2) { szszuzczcdt0( X ) ==> sz00,
% 0.98/1.42 szszuzczcdt0( skol1( szszuzczcdt0( X ) ) ) ==> szszuzczcdt0( X ), !
% 0.98/1.42 aNaturalNumber0( X ) }.
% 0.98/1.42 (149) {G2,W9,D5,L2,V1,M2} P(5,3);q;d(146);r(1) { ! aNaturalNumber0( X ),
% 0.98/1.42 szszuzczcdt0( skol1( szszuzczcdt0( X ) ) ) ==> szszuzczcdt0( X ) }.
% 0.98/1.42 (201) {G2,W3,D3,L1,V1,M1} P(4,132);q;r(127) { aNaturalNumber0( skol1( X ) )
% 0.98/1.42 }.
% 0.98/1.42 (1966) {G2,W6,D3,L2,V1,M2} R(54,66);r(63) { ! X = sziznziztdt0( xs ),
% 0.98/1.42 aVector0( X ) }.
% 0.98/1.42 (1968) {G2,W6,D3,L2,V1,M2} R(54,64);d(65);r(66) { ! X = sziznziztdt0( xt )
% 0.98/1.42 , aVector0( X ) }.
% 0.98/1.42 (1978) {G3,W3,D3,L1,V0,M1} Q(1968) { aVector0( sziznziztdt0( xt ) ) }.
% 0.98/1.42 (1979) {G3,W3,D3,L1,V0,M1} Q(1966) { aVector0( sziznziztdt0( xs ) ) }.
% 0.98/1.42 (1990) {G4,W4,D4,L1,V0,M1} R(1979,52) { aNaturalNumber0( aDimensionOf0(
% 0.98/1.42 sziznziztdt0( xs ) ) ) }.
% 0.98/1.42 (2003) {G4,W4,D4,L1,V0,M1} R(1978,52) { aNaturalNumber0( aDimensionOf0(
% 0.98/1.42 sziznziztdt0( xt ) ) ) }.
% 0.98/1.42 (2018) {G2,W7,D3,L2,V1,M2} R(55,66);r(63) { ! X = sziznziztdt0( xs ),
% 0.98/1.42 alpha1( xs, X ) }.
% 0.98/1.42 (2020) {G2,W7,D3,L2,V1,M2} R(55,64);d(65);r(66) { ! X = sziznziztdt0( xt )
% 0.98/1.42 , alpha1( xt, X ) }.
% 0.98/1.42 (2030) {G3,W4,D3,L1,V0,M1} Q(2020) { alpha1( xt, sziznziztdt0( xt ) ) }.
% 0.98/1.42 (2031) {G3,W4,D3,L1,V0,M1} Q(2018) { alpha1( xs, sziznziztdt0( xs ) ) }.
% 0.98/1.42 (2202) {G4,W7,D5,L1,V0,M1} R(57,2030);d(65) { szszuzczcdt0( aDimensionOf0(
% 0.98/1.42 sziznziztdt0( xt ) ) ) ==> aDimensionOf0( xs ) }.
% 0.98/1.42 (2203) {G4,W7,D5,L1,V0,M1} R(57,2031) { szszuzczcdt0( aDimensionOf0(
% 0.98/1.42 sziznziztdt0( xs ) ) ) ==> aDimensionOf0( xs ) }.
% 0.98/1.42 (5632) {G3,W14,D4,L4,V2,M4} P(149,6);r(201) { ! aNaturalNumber0( Y ), !
% 0.98/1.42 szszuzczcdt0( X ) = szszuzczcdt0( Y ), skol1( szszuzczcdt0( X ) ) = Y, !
% 0.98/1.42 aNaturalNumber0( X ) }.
% 0.98/1.42 (5634) {G4,W7,D4,L2,V1,M2} F(5632);q { ! aNaturalNumber0( X ), skol1(
% 0.98/1.42 szszuzczcdt0( X ) ) ==> X }.
% 0.98/1.42 (6638) {G5,W7,D4,L1,V0,M1} R(5634,1990);d(2203) { skol1( aDimensionOf0( xs
% 0.98/1.42 ) ) ==> aDimensionOf0( sziznziztdt0( xs ) ) }.
% 0.98/1.42 (6639) {G6,W7,D4,L1,V0,M1} R(5634,2003);d(2202);d(6638) { aDimensionOf0(
% 0.98/1.42 sziznziztdt0( xt ) ) ==> aDimensionOf0( sziznziztdt0( xs ) ) }.
% 0.98/1.42 (6661) {G7,W0,D0,L0,V0,M0} S(6639);r(67) { }.
% 0.98/1.42
% 0.98/1.42
% 0.98/1.42 % SZS output end Refutation
% 0.98/1.42 found a proof!
% 0.98/1.42
% 0.98/1.42
% 0.98/1.42 Unprocessed initial clauses:
% 0.98/1.42
% 0.98/1.42 (6663) {G0,W1,D1,L1,V0,M1} { && }.
% 0.98/1.42 (6664) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz00 ) }.
% 0.98/1.42 (6665) {G0,W5,D3,L2,V1,M2} { ! aNaturalNumber0( X ), aNaturalNumber0(
% 0.98/1.42 szszuzczcdt0( X ) ) }.
% 0.98/1.42 (6666) {G0,W6,D3,L2,V1,M2} { ! aNaturalNumber0( X ), ! szszuzczcdt0( X ) =
% 0.98/1.42 sz00 }.
% 0.98/1.42 (6667) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), X = sz00,
% 0.98/1.42 aNaturalNumber0( skol1( Y ) ) }.
% 0.98/1.42 (6668) {G0,W10,D4,L3,V1,M3} { ! aNaturalNumber0( X ), X = sz00, X =
% 0.98/1.42 szszuzczcdt0( skol1( X ) ) }.
% 0.98/1.42 (6669) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), ! aNaturalNumber0( Y
% 0.98/1.42 ), ! szszuzczcdt0( X ) = szszuzczcdt0( Y ), X = Y }.
% 0.98/1.42 (6670) {G0,W1,D1,L1,V0,M1} { && }.
% 0.98/1.42 (6671) {G0,W6,D3,L2,V1,M2} { ! aNaturalNumber0( X ), iLess0( X,
% 0.98/1.42 szszuzczcdt0( X ) ) }.
% 0.98/1.42 (6672) {G0,W1,D1,L1,V0,M1} { && }.
% 0.98/1.42 (6673) {G0,W2,D2,L1,V0,M1} { aScalar0( sz0z00 ) }.
% 0.98/1.42 (6674) {G0,W8,D3,L3,V2,M3} { ! aScalar0( X ), ! aScalar0( Y ), aScalar0(
% 0.98/1.42 sdtpldt0( X, Y ) ) }.
% 0.98/1.42 (6675) {G0,W8,D3,L3,V2,M3} { ! aScalar0( X ), ! aScalar0( Y ), aScalar0(
% 0.98/1.42 sdtasdt0( X, Y ) ) }.
% 0.98/1.42 (6676) {G0,W5,D3,L2,V1,M2} { ! aScalar0( X ), aScalar0( smndt0( X ) ) }.
% 0.98/1.42 (6677) {G0,W4,D2,L2,V1,M2} { ! aScalar0( X ), alpha3( X ) }.
% 0.98/1.42 (6678) {G0,W6,D3,L2,V1,M2} { ! aScalar0( X ), smndt0( sz0z00 ) = sz0z00
% 0.98/1.42 }.
% 0.98/1.42 (6679) {G0,W4,D2,L2,V1,M2} { ! alpha3( X ), alpha5( X ) }.
% 0.98/1.42 (6680) {G0,W7,D4,L2,V1,M2} { ! alpha3( X ), smndt0( smndt0( X ) ) = X }.
% 0.98/1.42 (6681) {G0,W9,D4,L3,V1,M3} { ! alpha5( X ), ! smndt0( smndt0( X ) ) = X,
% 0.98/1.42 alpha3( X ) }.
% 0.98/1.42 (6682) {G0,W4,D2,L2,V1,M2} { ! alpha5( X ), alpha6( X ) }.
% 0.98/1.42 (6683) {G0,W8,D4,L2,V1,M2} { ! alpha5( X ), sdtpldt0( smndt0( X ), X ) =
% 0.98/1.42 sz0z00 }.
% 0.98/1.42 (6684) {G0,W10,D4,L3,V1,M3} { ! alpha6( X ), ! sdtpldt0( smndt0( X ), X )
% 0.98/1.42 = sz0z00, alpha5( X ) }.
% 0.98/1.42 (6685) {G0,W4,D2,L2,V1,M2} { ! alpha6( X ), alpha7( X ) }.
% 0.98/1.42 (6686) {G0,W8,D4,L2,V1,M2} { ! alpha6( X ), sdtpldt0( X, smndt0( X ) ) =
% 0.98/1.42 sz0z00 }.
% 0.98/1.42 (6687) {G0,W10,D4,L3,V1,M3} { ! alpha7( X ), ! sdtpldt0( X, smndt0( X ) )
% 0.98/1.42 = sz0z00, alpha6( X ) }.
% 0.98/1.42 (6688) {G0,W4,D2,L2,V1,M2} { ! alpha7( X ), alpha8( X ) }.
% 0.98/1.42 (6689) {G0,W7,D3,L2,V1,M2} { ! alpha7( X ), sdtasdt0( sz0z00, X ) = sz0z00
% 0.98/1.42 }.
% 0.98/1.42 (6690) {G0,W9,D3,L3,V1,M3} { ! alpha8( X ), ! sdtasdt0( sz0z00, X ) =
% 0.98/1.42 sz0z00, alpha7( X ) }.
% 0.98/1.42 (6691) {G0,W7,D3,L2,V1,M2} { ! alpha8( X ), sdtpldt0( X, sz0z00 ) = X }.
% 0.98/1.42 (6692) {G0,W7,D3,L2,V1,M2} { ! alpha8( X ), sdtpldt0( sz0z00, X ) = X }.
% 0.98/1.42 (6693) {G0,W7,D3,L2,V1,M2} { ! alpha8( X ), sdtasdt0( X, sz0z00 ) = sz0z00
% 0.98/1.42 }.
% 0.98/1.42 (6694) {G0,W17,D3,L4,V1,M4} { ! sdtpldt0( X, sz0z00 ) = X, ! sdtpldt0(
% 0.98/1.42 sz0z00, X ) = X, ! sdtasdt0( X, sz0z00 ) = sz0z00, alpha8( X ) }.
% 0.98/1.42 (6695) {G0,W10,D2,L4,V3,M4} { ! aScalar0( X ), ! aScalar0( Y ), ! aScalar0
% 0.98/1.42 ( Z ), alpha4( X, Y, Z ) }.
% 0.98/1.42 (6696) {G0,W13,D3,L4,V3,M4} { ! aScalar0( X ), ! aScalar0( Y ), ! aScalar0
% 0.98/1.42 ( Z ), sdtasdt0( X, Y ) = sdtasdt0( Y, X ) }.
% 0.98/1.42 (6697) {G0,W15,D4,L2,V3,M2} { ! alpha4( X, Y, Z ), sdtpldt0( sdtpldt0( X,
% 0.98/1.42 Y ), Z ) = sdtpldt0( X, sdtpldt0( Y, Z ) ) }.
% 0.98/1.42 (6698) {G0,W11,D3,L2,V3,M2} { ! alpha4( X, Y, Z ), sdtpldt0( X, Y ) =
% 0.98/1.42 sdtpldt0( Y, X ) }.
% 0.98/1.42 (6699) {G0,W15,D4,L2,V3,M2} { ! alpha4( X, Y, Z ), sdtasdt0( sdtasdt0( X,
% 0.98/1.42 Y ), Z ) = sdtasdt0( X, sdtasdt0( Y, Z ) ) }.
% 0.98/1.42 (6700) {G0,W33,D4,L4,V3,M4} { ! sdtpldt0( sdtpldt0( X, Y ), Z ) = sdtpldt0
% 0.98/1.42 ( X, sdtpldt0( Y, Z ) ), ! sdtpldt0( X, Y ) = sdtpldt0( Y, X ), !
% 0.98/1.42 sdtasdt0( sdtasdt0( X, Y ), Z ) = sdtasdt0( X, sdtasdt0( Y, Z ) ), alpha4
% 0.98/1.42 ( X, Y, Z ) }.
% 0.98/1.42 (6701) {G0,W19,D4,L4,V3,M4} { ! aScalar0( X ), ! aScalar0( Y ), ! aScalar0
% 0.98/1.42 ( Z ), sdtasdt0( X, sdtpldt0( Y, Z ) ) = sdtpldt0( sdtasdt0( X, Y ),
% 0.98/1.42 sdtasdt0( X, Z ) ) }.
% 0.98/1.42 (6702) {G0,W19,D4,L4,V3,M4} { ! aScalar0( X ), ! aScalar0( Y ), ! aScalar0
% 0.98/1.42 ( Z ), sdtasdt0( sdtpldt0( X, Y ), Z ) = sdtpldt0( sdtasdt0( X, Z ),
% 0.98/1.42 sdtasdt0( Y, Z ) ) }.
% 0.98/1.42 (6703) {G0,W31,D5,L5,V4,M5} { ! aScalar0( X ), ! aScalar0( Y ), ! aScalar0
% 0.98/1.42 ( Z ), ! aScalar0( T ), sdtasdt0( sdtpldt0( X, Y ), sdtpldt0( Z, T ) ) =
% 0.98/1.42 sdtpldt0( sdtpldt0( sdtasdt0( X, Z ), sdtasdt0( X, T ) ), sdtpldt0(
% 0.98/1.42 sdtasdt0( Y, Z ), sdtasdt0( Y, T ) ) ) }.
% 0.98/1.42 (6704) {G0,W13,D4,L3,V2,M3} { ! aScalar0( X ), ! aScalar0( Y ), sdtasdt0(
% 0.98/1.42 X, smndt0( Y ) ) = smndt0( sdtasdt0( X, Y ) ) }.
% 0.98/1.42 (6705) {G0,W13,D4,L3,V2,M3} { ! aScalar0( X ), ! aScalar0( Y ), sdtasdt0(
% 0.98/1.42 smndt0( X ), Y ) = smndt0( sdtasdt0( X, Y ) ) }.
% 0.98/1.42 (6706) {G0,W13,D4,L3,V2,M3} { ! aScalar0( X ), ! aScalar0( Y ), sdtasdt0(
% 0.98/1.42 smndt0( X ), smndt0( Y ) ) = sdtasdt0( X, Y ) }.
% 0.98/1.42 (6707) {G0,W1,D1,L1,V0,M1} { && }.
% 0.98/1.42 (6708) {G0,W5,D2,L2,V1,M2} { ! aScalar0( X ), sdtlseqdt0( X, X ) }.
% 0.98/1.42 (6709) {G0,W13,D2,L5,V2,M5} { ! aScalar0( X ), ! aScalar0( Y ), !
% 0.98/1.42 sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, X ), X = Y }.
% 0.98/1.42 (6710) {G0,W15,D2,L6,V3,M6} { ! aScalar0( X ), ! aScalar0( Y ), ! aScalar0
% 0.98/1.42 ( Z ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Y, Z ), sdtlseqdt0( X, Z ) }.
% 0.98/1.42 (6711) {G0,W21,D3,L7,V4,M7} { ! aScalar0( X ), ! aScalar0( Y ), ! aScalar0
% 0.98/1.42 ( Z ), ! aScalar0( T ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( Z, T ),
% 0.98/1.42 sdtlseqdt0( sdtpldt0( X, Z ), sdtpldt0( Y, T ) ) }.
% 0.98/1.42 (6712) {G0,W24,D3,L8,V4,M8} { ! aScalar0( X ), ! aScalar0( Y ), ! aScalar0
% 0.98/1.42 ( Z ), ! aScalar0( T ), ! sdtlseqdt0( X, Y ), ! sdtlseqdt0( sz0z00, Z ),
% 0.98/1.42 ! sdtlseqdt0( Z, T ), sdtlseqdt0( sdtasdt0( X, Z ), sdtasdt0( Y, T ) )
% 0.98/1.42 }.
% 0.98/1.42 (6713) {G0,W10,D2,L4,V2,M4} { ! aScalar0( X ), ! aScalar0( Y ), sdtlseqdt0
% 0.98/1.42 ( X, Y ), sdtlseqdt0( Y, X ) }.
% 0.98/1.42 (6714) {G0,W15,D3,L5,V2,M5} { ! aScalar0( X ), ! aScalar0( Y ), !
% 0.98/1.42 sdtlseqdt0( sz0z00, X ), ! sdtlseqdt0( sz0z00, Y ), sdtlseqdt0( sz0z00,
% 0.98/1.42 sdtpldt0( X, Y ) ) }.
% 0.98/1.42 (6715) {G0,W15,D3,L5,V2,M5} { ! aScalar0( X ), ! aScalar0( Y ), !
% 0.98/1.42 sdtlseqdt0( sz0z00, X ), ! sdtlseqdt0( sz0z00, Y ), sdtlseqdt0( sz0z00,
% 0.98/1.42 sdtasdt0( X, Y ) ) }.
% 0.98/1.42 (6716) {G0,W7,D3,L2,V1,M2} { ! aScalar0( X ), sdtlseqdt0( sz0z00, sdtasdt0
% 0.98/1.42 ( X, X ) ) }.
% 0.98/1.42 (6717) {G0,W20,D3,L6,V2,M6} { ! aScalar0( X ), ! aScalar0( Y ), !
% 0.98/1.42 sdtlseqdt0( sz0z00, X ), ! sdtlseqdt0( sz0z00, Y ), ! sdtasdt0( X, X ) =
% 0.98/1.42 sdtasdt0( Y, Y ), X = Y }.
% 0.98/1.42 (6718) {G0,W1,D1,L1,V0,M1} { && }.
% 0.98/1.42 (6719) {G0,W5,D3,L2,V1,M2} { ! aVector0( X ), aNaturalNumber0(
% 0.98/1.42 aDimensionOf0( X ) ) }.
% 0.98/1.42 (6720) {G0,W8,D3,L3,V2,M3} { ! aVector0( X ), ! aNaturalNumber0( Y ),
% 0.98/1.42 aScalar0( sdtlbdtrb0( X, Y ) ) }.
% 0.98/1.42 (6721) {G0,W12,D3,L4,V2,M4} { ! aVector0( X ), aDimensionOf0( X ) = sz00,
% 0.98/1.42 ! Y = sziznziztdt0( X ), aVector0( Y ) }.
% 0.98/1.42 (6722) {G0,W13,D3,L4,V2,M4} { ! aVector0( X ), aDimensionOf0( X ) = sz00,
% 0.98/1.42 ! Y = sziznziztdt0( X ), alpha1( X, Y ) }.
% 0.98/1.42 (6723) {G0,W15,D3,L5,V2,M5} { ! aVector0( X ), aDimensionOf0( X ) = sz00,
% 0.98/1.42 ! aVector0( Y ), ! alpha1( X, Y ), Y = sziznziztdt0( X ) }.
% 0.98/1.42 (6724) {G0,W9,D4,L2,V2,M2} { ! alpha1( X, Y ), szszuzczcdt0( aDimensionOf0
% 0.98/1.42 ( Y ) ) = aDimensionOf0( X ) }.
% 0.98/1.42 (6725) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), alpha2( X, Y ) }.
% 0.98/1.42 (6726) {G0,W12,D4,L3,V2,M3} { ! szszuzczcdt0( aDimensionOf0( Y ) ) =
% 0.98/1.42 aDimensionOf0( X ), ! alpha2( X, Y ), alpha1( X, Y ) }.
% 0.98/1.42 (6727) {G0,W12,D3,L3,V3,M3} { ! alpha2( X, Y ), ! aNaturalNumber0( Z ),
% 0.98/1.42 sdtlbdtrb0( Y, Z ) = sdtlbdtrb0( X, Z ) }.
% 0.98/1.42 (6728) {G0,W7,D3,L2,V4,M2} { aNaturalNumber0( skol2( Z, T ) ), alpha2( X,
% 0.98/1.42 Y ) }.
% 0.98/1.42 (6729) {G0,W14,D4,L2,V2,M2} { ! sdtlbdtrb0( Y, skol2( X, Y ) ) =
% 0.98/1.42 sdtlbdtrb0( X, skol2( X, Y ) ), alpha2( X, Y ) }.
% 0.98/1.42 (6730) {G0,W2,D2,L1,V0,M1} { aVector0( xs ) }.
% 0.98/1.43 (6731) {G0,W2,D2,L1,V0,M1} { aVector0( xt ) }.
% 0.98/1.43 (6732) {G0,W5,D3,L1,V0,M1} { aDimensionOf0( xs ) = aDimensionOf0( xt ) }.
% 0.98/1.43 (6733) {G0,W4,D3,L1,V0,M1} { ! aDimensionOf0( xt ) = sz00 }.
% 0.98/1.43 (6734) {G0,W7,D4,L1,V0,M1} { ! aDimensionOf0( sziznziztdt0( xs ) ) =
% 0.98/1.43 aDimensionOf0( sziznziztdt0( xt ) ) }.
% 0.98/1.43
% 0.98/1.43
% 0.98/1.43 Total Proof:
% 0.98/1.43
% 0.98/1.43 subsumption: (1) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz00 ) }.
% 0.98/1.43 parent0: (6664) {G0,W2,D2,L1,V0,M1} { aNaturalNumber0( sz00 ) }.
% 0.98/1.43 substitution0:
% 0.98/1.43 end
% 0.98/1.43 permutation0:
% 0.98/1.43 0 ==> 0
% 0.98/1.43 end
% 0.98/1.43
% 0.98/1.43 subsumption: (2) {G0,W5,D3,L2,V1,M2} I { ! aNaturalNumber0( X ),
% 0.98/1.43 aNaturalNumber0( szszuzczcdt0( X ) ) }.
% 0.98/1.43 parent0: (6665) {G0,W5,D3,L2,V1,M2} { ! aNaturalNumber0( X ),
% 0.98/1.43 aNaturalNumber0( szszuzczcdt0( X ) ) }.
% 0.98/1.43 substitution0:
% 0.98/1.43 X := X
% 0.98/1.43 end
% 0.98/1.43 permutation0:
% 0.98/1.43 0 ==> 0
% 0.98/1.43 1 ==> 1
% 0.98/1.43 end
% 0.98/1.43
% 0.98/1.43 subsumption: (3) {G0,W6,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), !
% 0.98/1.43 szszuzczcdt0( X ) ==> sz00 }.
% 0.98/1.43 parent0: (6666) {G0,W6,D3,L2,V1,M2} { ! aNaturalNumber0( X ), !
% 0.98/1.43 szszuzczcdt0( X ) = sz00 }.
% 0.98/1.43 substitution0:
% 0.98/1.43 X := X
% 0.98/1.43 end
% 0.98/1.43 permutation0:
% 0.98/1.43 0 ==> 0
% 0.98/1.43 1 ==> 1
% 0.98/1.43 end
% 0.98/1.43
% 0.98/1.43 subsumption: (4) {G0,W8,D3,L3,V2,M3} I { ! aNaturalNumber0( X ), X = sz00,
% 0.98/1.43 aNaturalNumber0( skol1( Y ) ) }.
% 0.98/1.43 parent0: (6667) {G0,W8,D3,L3,V2,M3} { ! aNaturalNumber0( X ), X = sz00,
% 0.98/1.43 aNaturalNumber0( skol1( Y ) ) }.
% 0.98/1.43 substitution0:
% 0.98/1.43 X := X
% 0.98/1.43 Y := Y
% 0.98/1.43 end
% 0.98/1.43 permutation0:
% 0.98/1.43 0 ==> 0
% 0.98/1.43 1 ==> 1
% 0.98/1.43 2 ==> 2
% 0.98/1.43 end
% 0.98/1.43
% 0.98/1.43 eqswap: (6741) {G0,W10,D4,L3,V1,M3} { szszuzczcdt0( skol1( X ) ) = X, !
% 0.98/1.43 aNaturalNumber0( X ), X = sz00 }.
% 0.98/1.43 parent0[2]: (6668) {G0,W10,D4,L3,V1,M3} { ! aNaturalNumber0( X ), X = sz00
% 0.98/1.43 , X = szszuzczcdt0( skol1( X ) ) }.
% 0.98/1.43 substitution0:
% 0.98/1.43 X := X
% 0.98/1.43 end
% 0.98/1.43
% 0.98/1.43 subsumption: (5) {G0,W10,D4,L3,V1,M3} I { ! aNaturalNumber0( X ), X = sz00
% 0.98/1.43 , szszuzczcdt0( skol1( X ) ) ==> X }.
% 0.98/1.43 parent0: (6741) {G0,W10,D4,L3,V1,M3} { szszuzczcdt0( skol1( X ) ) = X, !
% 0.98/1.43 aNaturalNumber0( X ), X = sz00 }.
% 0.98/1.43 substitution0:
% 0.98/1.43 X := X
% 0.98/1.43 end
% 0.98/1.43 permutation0:
% 0.98/1.43 0 ==> 2
% 0.98/1.43 1 ==> 0
% 0.98/1.43 2 ==> 1
% 0.98/1.43 end
% 0.98/1.43
% 0.98/1.43 subsumption: (6) {G0,W12,D3,L4,V2,M4} I { ! aNaturalNumber0( X ), !
% 0.98/1.43 aNaturalNumber0( Y ), ! szszuzczcdt0( X ) = szszuzczcdt0( Y ), X = Y }.
% 0.98/1.43 parent0: (6669) {G0,W12,D3,L4,V2,M4} { ! aNaturalNumber0( X ), !
% 0.98/1.43 aNaturalNumber0( Y ), ! szszuzczcdt0( X ) = szszuzczcdt0( Y ), X = Y }.
% 0.98/1.43 substitution0:
% 0.98/1.43 X := X
% 0.98/1.43 Y := Y
% 0.98/1.43 end
% 0.98/1.43 permutation0:
% 0.98/1.43 0 ==> 0
% 0.98/1.43 1 ==> 1
% 0.98/1.43 2 ==> 2
% 0.98/1.43 3 ==> 3
% 0.98/1.43 end
% 0.98/1.43
% 0.98/1.43 subsumption: (52) {G0,W5,D3,L2,V1,M2} I { ! aVector0( X ), aNaturalNumber0
% 0.98/1.43 ( aDimensionOf0( X ) ) }.
% 0.98/1.43 parent0: (6719) {G0,W5,D3,L2,V1,M2} { ! aVector0( X ), aNaturalNumber0(
% 0.98/1.43 aDimensionOf0( X ) ) }.
% 0.98/1.43 substitution0:
% 0.98/1.43 X := X
% 0.98/1.43 end
% 0.98/1.43 permutation0:
% 0.98/1.43 0 ==> 0
% 0.98/1.43 1 ==> 1
% 0.98/1.43 end
% 0.98/1.43
% 0.98/1.43 subsumption: (54) {G0,W12,D3,L4,V2,M4} I { ! aVector0( X ), aDimensionOf0(
% 0.98/1.43 X ) ==> sz00, ! Y = sziznziztdt0( X ), aVector0( Y ) }.
% 0.98/1.43 parent0: (6721) {G0,W12,D3,L4,V2,M4} { ! aVector0( X ), aDimensionOf0( X )
% 0.98/1.43 = sz00, ! Y = sziznziztdt0( X ), aVector0( Y ) }.
% 0.98/1.43 substitution0:
% 0.98/1.43 X := X
% 0.98/1.43 Y := Y
% 0.98/1.43 end
% 0.98/1.43 permutation0:
% 0.98/1.43 0 ==> 0
% 0.98/1.43 1 ==> 1
% 0.98/1.43 2 ==> 2
% 0.98/1.43 3 ==> 3
% 0.98/1.43 end
% 0.98/1.43
% 0.98/1.43 subsumption: (55) {G0,W13,D3,L4,V2,M4} I { ! aVector0( X ), aDimensionOf0(
% 0.98/1.43 X ) ==> sz00, ! Y = sziznziztdt0( X ), alpha1( X, Y ) }.
% 0.98/1.43 parent0: (6722) {G0,W13,D3,L4,V2,M4} { ! aVector0( X ), aDimensionOf0( X )
% 0.98/1.43 = sz00, ! Y = sziznziztdt0( X ), alpha1( X, Y ) }.
% 0.98/1.43 substitution0:
% 0.98/1.43 X := X
% 0.98/1.43 Y := Y
% 0.98/1.43 end
% 0.98/1.43 permutation0:
% 0.98/1.43 0 ==> 0
% 0.98/1.43 1 ==> 1
% 0.98/1.43 2 ==> 2
% 0.98/1.43 3 ==> 3
% 0.98/1.43 end
% 0.98/1.43
% 0.98/1.43 subsumption: (57) {G0,W9,D4,L2,V2,M2} I { ! alpha1( X, Y ), szszuzczcdt0(
% 0.98/1.43 aDimensionOf0( Y ) ) = aDimensionOf0( X ) }.
% 0.98/1.43 parent0: (6724) {G0,W9,D4,L2,V2,M2} { ! alpha1( X, Y ), szszuzczcdt0(
% 0.98/1.43 aDimensionOf0( Y ) ) = aDimensionOf0( X ) }.
% 0.98/1.43 substitution0:
% 0.98/1.43 X := X
% 0.98/1.43 Y := Y
% 0.98/1.43 end
% 0.98/1.43 permutation0:
% 0.98/1.43 0 ==> 0
% 0.98/1.43 1 ==> 1
% 0.98/1.43 end
% 0.98/1.43
% 0.98/1.43 *** allocated 170857 integers for termspace/termends
% 0.98/1.43 subsumption: (63) {G0,W2,D2,L1,V0,M1} I { aVector0( xs ) }.
% 0.98/1.43 parent0: (6730) {G0,W2,D2,L1,V0,M1} { aVector0( xs ) }.
% 0.98/1.43 substitution0:
% 0.98/1.43 end
% 0.98/1.43 permutation0:
% 0.98/1.43 0 ==> 0
% 0.98/1.43 end
% 0.98/1.43
% 0.98/1.43 subsumption: (64) {G0,W2,D2,L1,V0,M1} I { aVector0( xt ) }.
% 0.98/1.43 parent0: (6731) {G0,W2,D2,L1,V0,M1} { aVector0( xt ) }.
% 0.98/1.43 substitution0:
% 0.98/1.43 end
% 0.98/1.43 permutation0:
% 0.98/1.43 0 ==> 0
% 0.98/1.43 end
% 0.98/1.43
% 0.98/1.43 eqswap: (8098) {G0,W5,D3,L1,V0,M1} { aDimensionOf0( xt ) = aDimensionOf0(
% 0.98/1.43 xs ) }.
% 0.98/1.43 parent0[0]: (6732) {G0,W5,D3,L1,V0,M1} { aDimensionOf0( xs ) =
% 0.98/1.43 aDimensionOf0( xt ) }.
% 0.98/1.43 substitution0:
% 0.98/1.43 end
% 0.98/1.43
% 0.98/1.43 subsumption: (65) {G0,W5,D3,L1,V0,M1} I { aDimensionOf0( xt ) ==>
% 0.98/1.43 aDimensionOf0( xs ) }.
% 0.98/1.43 parent0: (8098) {G0,W5,D3,L1,V0,M1} { aDimensionOf0( xt ) = aDimensionOf0
% 0.98/1.43 ( xs ) }.
% 0.98/1.43 substitution0:
% 0.98/1.43 end
% 0.98/1.43 permutation0:
% 0.98/1.43 0 ==> 0
% 0.98/1.43 end
% 0.98/1.43
% 0.98/1.43 paramod: (8373) {G1,W4,D3,L1,V0,M1} { ! aDimensionOf0( xs ) = sz00 }.
% 0.98/1.43 parent0[0]: (65) {G0,W5,D3,L1,V0,M1} I { aDimensionOf0( xt ) ==>
% 0.98/1.43 aDimensionOf0( xs ) }.
% 0.98/1.43 parent1[0; 2]: (6733) {G0,W4,D3,L1,V0,M1} { ! aDimensionOf0( xt ) = sz00
% 0.98/1.43 }.
% 0.98/1.43 substitution0:
% 0.98/1.43 end
% 0.98/1.43 substitution1:
% 0.98/1.43 end
% 0.98/1.43
% 0.98/1.43 subsumption: (66) {G1,W4,D3,L1,V0,M1} I;d(65) { ! aDimensionOf0( xs ) ==>
% 0.98/1.43 sz00 }.
% 0.98/1.43 parent0: (8373) {G1,W4,D3,L1,V0,M1} { ! aDimensionOf0( xs ) = sz00 }.
% 0.98/1.43 substitution0:
% 0.98/1.43 end
% 0.98/1.43 permutation0:
% 0.98/1.43 0 ==> 0
% 0.98/1.43 end
% 0.98/1.43
% 0.98/1.43 eqswap: (8576) {G0,W7,D4,L1,V0,M1} { ! aDimensionOf0( sziznziztdt0( xt ) )
% 0.98/1.43 = aDimensionOf0( sziznziztdt0( xs ) ) }.
% 0.98/1.43 parent0[0]: (6734) {G0,W7,D4,L1,V0,M1} { ! aDimensionOf0( sziznziztdt0( xs
% 0.98/1.43 ) ) = aDimensionOf0( sziznziztdt0( xt ) ) }.
% 0.98/1.43 substitution0:
% 0.98/1.43 end
% 0.98/1.43
% 0.98/1.43 subsumption: (67) {G0,W7,D4,L1,V0,M1} I { ! aDimensionOf0( sziznziztdt0( xt
% 0.98/1.43 ) ) ==> aDimensionOf0( sziznziztdt0( xs ) ) }.
% 0.98/1.43 parent0: (8576) {G0,W7,D4,L1,V0,M1} { ! aDimensionOf0( sziznziztdt0( xt )
% 0.98/1.43 ) = aDimensionOf0( sziznziztdt0( xs ) ) }.
% 0.98/1.43 substitution0:
% 0.98/1.43 end
% 0.98/1.43 permutation0:
% 0.98/1.43 0 ==> 0
% 0.98/1.43 end
% 0.98/1.43
% 0.98/1.43 resolution: (8577) {G1,W3,D3,L1,V0,M1} { aNaturalNumber0( szszuzczcdt0(
% 0.98/1.43 sz00 ) ) }.
% 0.98/1.43 parent0[0]: (2) {G0,W5,D3,L2,V1,M2} I { ! aNaturalNumber0( X ),
% 0.98/1.43 aNaturalNumber0( szszuzczcdt0( X ) ) }.
% 0.98/1.43 parent1[0]: (1) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz00 ) }.
% 0.98/1.43 substitution0:
% 0.98/1.43 X := sz00
% 0.98/1.43 end
% 0.98/1.43 substitution1:
% 0.98/1.43 end
% 0.98/1.43
% 0.98/1.43 subsumption: (127) {G1,W3,D3,L1,V0,M1} R(2,1) { aNaturalNumber0(
% 0.98/1.43 szszuzczcdt0( sz00 ) ) }.
% 0.98/1.43 parent0: (8577) {G1,W3,D3,L1,V0,M1} { aNaturalNumber0( szszuzczcdt0( sz00
% 0.98/1.43 ) ) }.
% 0.98/1.43 substitution0:
% 0.98/1.43 end
% 0.98/1.43 permutation0:
% 0.98/1.43 0 ==> 0
% 0.98/1.43 end
% 0.98/1.43
% 0.98/1.43 eqswap: (8578) {G0,W6,D3,L2,V1,M2} { ! sz00 ==> szszuzczcdt0( X ), !
% 0.98/1.43 aNaturalNumber0( X ) }.
% 0.98/1.43 parent0[1]: (3) {G0,W6,D3,L2,V1,M2} I { ! aNaturalNumber0( X ), !
% 0.98/1.44 szszuzczcdt0( X ) ==> sz00 }.
% 0.98/1.44 substitution0:
% 0.98/1.44 X := X
% 0.98/1.44 end
% 0.98/1.44
% 0.98/1.44 resolution: (8579) {G1,W4,D3,L1,V0,M1} { ! sz00 ==> szszuzczcdt0( sz00 )
% 0.98/1.44 }.
% 0.98/1.44 parent0[1]: (8578) {G0,W6,D3,L2,V1,M2} { ! sz00 ==> szszuzczcdt0( X ), !
% 0.98/1.44 aNaturalNumber0( X ) }.
% 0.98/1.44 parent1[0]: (1) {G0,W2,D2,L1,V0,M1} I { aNaturalNumber0( sz00 ) }.
% 0.98/1.44 substitution0:
% 0.98/1.44 X := sz00
% 0.98/1.44 end
% 0.98/1.44 substitution1:
% 0.98/1.44 end
% 0.98/1.44
% 0.98/1.44 eqswap: (8580) {G1,W4,D3,L1,V0,M1} { ! szszuzczcdt0( sz00 ) ==> sz00 }.
% 0.98/1.44 parent0[0]: (8579) {G1,W4,D3,L1,V0,M1} { ! sz00 ==> szszuzczcdt0( sz00 )
% 0.98/1.44 }.
% 0.98/1.44 substitution0:
% 0.98/1.44 end
% 0.98/1.44
% 0.98/1.44 subsumption: (132) {G1,W4,D3,L1,V0,M1} R(3,1) { ! szszuzczcdt0( sz00 ) ==>
% 0.98/1.44 sz00 }.
% 0.98/1.44 parent0: (8580) {G1,W4,D3,L1,V0,M1} { ! szszuzczcdt0( sz00 ) ==> sz00 }.
% 0.98/1.44 substitution0:
% 0.98/1.44 end
% 0.98/1.44 permutation0:
% 0.98/1.44 0 ==> 0
% 0.98/1.44 end
% 0.98/1.44
% 0.98/1.44 eqswap: (8581) {G0,W10,D4,L3,V1,M3} { sz00 = X, ! aNaturalNumber0( X ),
% 0.98/1.44 szszuzczcdt0( skol1( X ) ) ==> X }.
% 0.98/1.44 parent0[1]: (5) {G0,W10,D4,L3,V1,M3} I { ! aNaturalNumber0( X ), X = sz00,
% 0.98/1.44 szszuzczcdt0( skol1( X ) ) ==> X }.
% 0.98/1.44 substitution0:
% 0.98/1.44 X := X
% 0.98/1.44 end
% 0.98/1.44
% 0.98/1.44 resolution: (8584) {G1,W13,D5,L3,V1,M3} { sz00 = szszuzczcdt0( X ),
% 0.98/1.44 szszuzczcdt0( skol1( szszuzczcdt0( X ) ) ) ==> szszuzczcdt0( X ), !
% 0.98/1.44 aNaturalNumber0( X ) }.
% 0.98/1.44 parent0[1]: (8581) {G0,W10,D4,L3,V1,M3} { sz00 = X, ! aNaturalNumber0( X )
% 0.98/1.44 , szszuzczcdt0( skol1( X ) ) ==> X }.
% 0.98/1.44 parent1[1]: (2) {G0,W5,D3,L2,V1,M2} I { ! aNaturalNumber0( X ),
% 0.98/1.44 aNaturalNumber0( szszuzczcdt0( X ) ) }.
% 0.98/1.44 substitution0:
% 0.98/1.44 X := szszuzczcdt0( X )
% 0.98/1.44 end
% 0.98/1.44 substitution1:
% 0.98/1.44 X := X
% 0.98/1.44 end
% 0.98/1.44
% 0.98/1.44 eqswap: (8585) {G1,W13,D5,L3,V1,M3} { szszuzczcdt0( X ) = sz00,
% 0.98/1.44 szszuzczcdt0( skol1( szszuzczcdt0( X ) ) ) ==> szszuzczcdt0( X ), !
% 0.98/1.44 aNaturalNumber0( X ) }.
% 0.98/1.44 parent0[0]: (8584) {G1,W13,D5,L3,V1,M3} { sz00 = szszuzczcdt0( X ),
% 0.98/1.44 szszuzczcdt0( skol1( szszuzczcdt0( X ) ) ) ==> szszuzczcdt0( X ), !
% 0.98/1.44 aNaturalNumber0( X ) }.
% 0.98/1.44 substitution0:
% 0.98/1.44 X := X
% 0.98/1.44 end
% 0.98/1.44
% 0.98/1.44 subsumption: (146) {G1,W13,D5,L3,V1,M3} R(5,2) { szszuzczcdt0( X ) ==> sz00
% 0.98/1.44 , szszuzczcdt0( skol1( szszuzczcdt0( X ) ) ) ==> szszuzczcdt0( X ), !
% 0.98/1.44 aNaturalNumber0( X Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------